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Modern approaches to classical additive problems
(Turun yliopisto, 2022-05-05)
In this thesis, we study additive problems using the transference principle and the Hardy-Littlewood circle method. The problems studied are related to Waring's prolem and Goldbach's conjecture. Waring's problem states ...
Adaptive Dynamics of Resource Specialization
(Turun yliopistoAnnales Universitatis Turkuensis A I 508, 2015-03-13)
Ecological specialization in resource utilization has various facades ranging from nutritional resources via host use of parasites or phytophagous insects to local adaptation in different habitats. Therefore, the evolution ...
On the computation of the class numbers of real Abelian fields
(Turku Centre for Computer Science, 2007-05-18)
On Commutation and Conjugacy of Rational Languages and the Fixed Point Method
(Turku Centre for Computer Science, 2009-04-03)
The research on language equations has been active during last decades. Compared to the equations on words the equations on languages are much more difficult to solve. Even very simple equations that are easy to solve for ...
On Inner Products Involving Holomorphic Cusp Forms and Maass Forms
(Turku Centre for Computer Science, 2009-10-30)
Class Field Theoretic Methods in the Design of Lattice Signal Constellations
(Turku Centre for Computer Science, 2008-04-16)
Qualitative Characteristics and Quantitative Measures of Solution's Reliability in Discrete Optimization: Traditional Analytical Approaches, Innovative Computational Methods and Applicability
(Turun yliopistoAnnales Universitatis Turkuensis A I 451, 2012-12-18)
The purpose of this thesis is twofold. The first and major part is devoted to
sensitivity analysis of various discrete optimization problems while the second
part addresses methods applied for calculating measures of ...
Statistical Methods for Conservation and Alignment Quality in Proteins
(Turun yliopistoAnnales Universitatis Turkuensis AII 228, 2008-11-07)
Construction of multiple sequence alignments is a fundamental task in Bioinformatics. Multiple sequence alignments are used as a prerequisite in many Bioinformatics methods, and subsequently the quality of such methods can ...
Analysis of High-dimensional and Left-censored Data with Applications in Lipidomics and Genomics
(Turun yliopistoAnnales Universitatis Turkuensis A I 548, 2016-11-24)
Recently, there has been an occurrence of new kinds of high- throughput measurement techniques enabling biological research to focus on fundamental building blocks of living organisms such as genes, proteins, and lipids. ...
Mathematics inspired by Darwin. Adaptive dynamics of dispersal and cooperation
(Turun yliopistoAnnales Universitatis Turkuensis A I 482, 2014-02-07)
In 1859, Charles Darwin published his theory of evolution by natural selection, the process occurring based on fitness benefits and fitness costs at the individual level. Traditionally, evolution has been investigated by ...